Exponential Functions and Arithmetic and Geometric Sequences

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither

What is the common ratio for the sequence:
28, -14, 7, -3.5...

• 1/2 (or 0.5)

• - 1/2 (or -0.5)

• -14

• -7

Is the sequence-4, -12, -36, -108,... arithmetic geometric, or neither?

• arithmetic

• geometric

• neither

Does the following table represent a geometric sequence or an arithmetic? Explain 

• geometric, it has a constant rate

• geometric, it has a constant percentage

• arithmetic, it has a constant rate

• arithmetic, it has a constant percentage

If the sequence 4, 8, 12, 16 continues, what will be the 7^th term?

• 24

• 28

• 32

• 36

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. (HINT: Write out the equation on a separate piece of paper and hen simplify inside the parenthesis)

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

y = 7(1.2)^x

• Growth, because of 7

• Decay, because of 1.2

• Growth because of 1.2

• Decay because of 7

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^x

If the sequence 6, 11, 16, 21 continues, what will be the 9^th term?

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

• -5/2

• -2/5

• 2/5

• 5/2